The Hadamard product of a matrix with an outer product of two vectors is equivalent to the product with diagonal matrices of vectors composing the outer product [1]}.
Thus, we further transform the governing equation
(REF ):
\(x[k+1] - x[k] = W\cdot \text{diag}\left(x[k]\right) \cdot u - \text{diag}\left( x[k]\right) \cdot \left( W\cdot u\right) ,\) 
